3m-10=5m+20

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Solution for 3m-10=5m+20 equation:


Simplifying
3m + -10 = 5m + 20

Reorder the terms:
-10 + 3m = 5m + 20

Reorder the terms:
-10 + 3m = 20 + 5m

Solving
-10 + 3m = 20 + 5m

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Add '-5m' to each side of the equation.
-10 + 3m + -5m = 20 + 5m + -5m

Combine like terms: 3m + -5m = -2m
-10 + -2m = 20 + 5m + -5m

Combine like terms: 5m + -5m = 0
-10 + -2m = 20 + 0
-10 + -2m = 20

Add '10' to each side of the equation.
-10 + 10 + -2m = 20 + 10

Combine like terms: -10 + 10 = 0
0 + -2m = 20 + 10
-2m = 20 + 10

Combine like terms: 20 + 10 = 30
-2m = 30

Divide each side by '-2'.
m = -15

Simplifying
m = -15

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